Combining Lemma , Lemma , and Theorem 4.1 of [1]},
we get the following corollary for \(\varepsilon ={\Omega \left( {1/\sqrt{n}} \right)}\) :

For every \(k\in \mathbb {Z}\) , \(\error <1/3\) , constant \(\varepsilon \)  and \(n = {\Omega \left( {1/\varepsilon ^2} \right)}\) ,
there is
\(\mathbf {RCC}^{sim}_{k,\error }\left(\text{$\varepsilon \sqrt{n}$-$\textsc {GHSE} _n$} \right) = {\Omega \left( {\varepsilon ^{-2} k \log \log k} \right)}\) 
